Answer:
1) -15+8i
2) x^2+2x-5
Step-by-step explanation:
1) apply perfect square formula
(4i)^2+2*4i1+1^2
then simplify
2)remove parentheses
x+1+(x-2)(x+3)
expand (x-2)(x+3)
x+1+x^2+x-6
simplify x+1+x^2-6 = x^2+2x-5
Answer:
tobin should have divided by three
Step-by-step explanation:
Answer:1493.1
Step-by-step explanation:
In this question, we are required to find the total amount he paid to buy the shirt.
It is given that sales tax is 5.5 % over the amount paid.
The cost price of the shirt = $ 24.
The total amount will be = Cost price + 5.5 % of Cost price
Or
Total amount paid = $ 24 × 1.055 (i.e. 100 % + 5.5 %)
Total amount = $ 24 + (5.5 % × $ 24)
Total amount paid = $ 24 + $ 1.32 = $ 25.32
Answer:
6.25 feet.
Step-by-step explanation:
Let L be the length of the ramp in feet.
We have been given that steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. The ramp make a 30° angle with the ground.
We can see from our attachment that ramp and truck bed forms a right triangle with ground. The truck bed is opposite side and length of ramp is hypotenuse of our given angle.
Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to solve for L.
Upon substituting our given values in above formula we will get,
Therefore, the length of the ramp is 75 inches.
Let us convert the length of ramp in feet.
1 feet = 12 inches.
Therefore, the length of the ramp is 6.25 feet.
